Bilinear-form and similarity-reduction visit to a variable-coefficient generalized dispersive water-wave system concerning Acta Mech. 233, 2527 and 233, 2415

Symbolic computation and algebraic computation (68W30) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)

Cites Work

On a direct procedure for the disclosure of Lax pairs and Bäcklund transformations
Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system
Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system
Generalized Darboux transformation and solitons for the Ablowitz-Ladik equation in an electrical lattice
Circular undular hydraulic jumps in turbulent free-surface flows
Heat traveling waves in rigid thermal conductors with phase lag and stability analysis
Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended \((3+1)\)-dimensional nonlinear Schrödinger equation in an optical fiber
Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system
New similarity reductions of the Boussinesq equation
On a direct bilinearization method: Kaup's higher-order water wave equation as a modified nonlocal Boussinesq equation
Handbook of Differential Equations
Soliton interactions, Bäcklund transformations, Lax pair for a variable-coefficient generalized dispersive water-wave system
Exponential polynomials.
On a variable-coefficient AB system in a baroclinic flow: generalized Darboux transformation and non-autonomous localized waves
Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation
Explainable AI insights for symbolic computation: a case study on selecting the variable ordering for cylindrical algebraic decomposition
lifex-cfd: an open-source computational fluid dynamics solver for cardiovascular applications
Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations
Kinetic analysis and numerical tests of an adaptive car-following model for real-time traffic in its
Theoretical investigations on a variable-coefficient generalized forced-perturbed Korteweg-de Vries-Burgers model for a dilated artery, blood vessel or circulatory system with experimental support
Lump and hybrid solutions for a (3+1)-dimensional Boussinesq-type equation for the gravity waves over a water surface
Lie symmetry analysis, optimal system, symmetry reductions and analytic solutions for a \((2+1)\)-dimensional generalized nonlinear evolution system in a fluid or a plasma
Two-layer-liquid and lattice considerations through a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system
Auto-Bäcklund transformation with the solitons and similarity reductions for a generalized nonlinear shallow water wave equation
In the shallow water: auto-Bäcklund, hetero-Bäcklund and scaling transformations via a (2+1)-dimensional generalized Broer-Kaup system
In oceanography, acoustics and hydrodynamics: investigations on an extended coupled (2+1)-dimensional Burgers system
Considering the wave processes in oceanography, acoustics and hydrodynamics by means of an extended coupled (2+1)-dimensional Burgers system
Symbolic computation on a (2+1)-dimensional generalized nonlinear evolution system in fluid dynamics, plasma physics, nonlinear optics and quantum mechanics
Similarity reductions on a \((2+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system describing certain electromagnetic waves in a thin film

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